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Finding the Third Proportional to 41,644 and 54,675

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Solution

The third proportional to 41,644 and 54,675 is: 71,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644 : 54,675 = 54,675 : x
  2. Step 2: Convert to fraction form
    41,644/54,675 = 54,675/x
  3. Step 3: Cross multiply
    41,644x = 54,675 × 54,675
  4. Step 4: Simplify right side
    41,644x = 2,989,355,625
  5. Step 5: Solve for x
    x = 2,989,355,625/41,644
  6. Step 6: Final answer
    x = 71,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.